Find the equation of the ellipse whose focus is (5,6), equation of directrix x+y+2=0 and eccentricity is `(1)/(2)`.

Explanation

To find the equation of the ellipse with the given focus, directrix, and eccentricity, we will follow these steps:

### Step 1: Understand the definition of an ellipse
An ellipse is defined as the set of points \( P(x, y) \) such that the distance from \( P \) to the focus \( F \) is equal to the eccentricity \( e \) times the perpendicular distance from \( P \) to the directrix.

### Step 2: Identify the given values
- Focus \( F(5, 6) \)
- Directrix \( x + y + 2 = 0 \)
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